364657216 has 189 divisors, whose sum is σ = 956047491. Its totient is φ = 137491200.

The previous prime is 364657201. The next prime is 364657219. The reversal of 364657216 is 612756463.

The square root of 364657216 is 19096.

It is a perfect power (a square), and thus also a powerful number.

It is not an unprimeable number, because it can be changed into a prime (364657219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 11763121 + ... + 11763151.

Almost surely, 2^364657216 is an apocalyptic number.

364657216 is the 19096-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 364657216

364657216 is an abundant number, since it is smaller than the sum of its proper divisors (591390275).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

364657216 is a wasteful number, since it uses less digits than its factorization.

364657216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 51 counting only the distinct ones).

The product of its digits is 181440, while the sum is 40.

The cubic root of 364657216 is about 714.4331602053.

It can be divided in two parts, 36465 and 7216, that added together give a square (43681 = 209²).

The spelling of 364657216 in words is "three hundred sixty-four million, six hundred fifty-seven thousand, two hundred sixteen".